A strong substitution-box is main ingredient in cryptography. Many encryption schemes have been proposed since 1970’s such as DES, AES and IDEA. In this paper we construct S-boxes using a new technique, our proposed algorithm relies on modified Pascal’s triangle and elliptic curve. The substitution-boxes are analyzed by non-linearity, strict avalanche criterion, bit independence criterion, differential approximation probability and linear approximation probability. Comparison is also made with some existing S-boxes such as AES, APA, Gray, \(S_{8}\) AES, Skipjack, Xyi and residue prime. We use our proposed substitution-boxes for image encryption and noise removal.

一个强大的替代盒是密码学的主要成分。自1970年代以来，已经提出了许多加密方案，例如DES，AES和IDEA。在本文中，我们使用一种新技术构造S盒，我们提出的算法依赖于修改后的Pascal三角形和椭圆曲线。通过非线性，严格雪崩准则，位独立准则，微分逼近概率和线性逼近概率来分析替换盒。还与一些现有的S盒（例如AES，APA，Gray，\（S_ {8} \） AES，Skipjack，Xyi和残基素数）进行了比较。我们使用建议的替代盒进行图像加密和噪声消除。